12577320 has 288 divisors, whose sum is σ = 51217920. Its totient is φ = 2661120.

The previous prime is 12577309. The next prime is 12577321. The reversal of 12577320 is 2377521.

It is not an unprimeable number, because it can be changed into a prime (12577321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 405705 + ... + 405735.

It is an arithmetic number, because the mean of its divisors is an integer number (177840).

Almost surely, 2^12577320 is an apocalyptic number.

12577320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12577320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25608960).

12577320 is an abundant number, since it is smaller than the sum of its proper divisors (38640600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12577320 is a wasteful number, since it uses less digits than its factorization.

12577320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 12577320 is about 3546.4517478742. The cubic root of 12577320 is about 232.5569752841.

12577320 divided by its product of nonzero digits (2940) gives a triangular number (4278 = T₉₂).

The spelling of 12577320 in words is "twelve million, five hundred seventy-seven thousand, three hundred twenty".